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Finding the Fourth Proportional to 809.17, 1,117.03 and 610.08

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Solution

The fourth proportional to 809.17, 1,117.03 and 610.08 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.17 : 1,117.03 = 610.08 : x
  2. Step 2: Convert to fraction form
    809.17/1,117.03 = 610.08/x
  3. Step 3: Cross multiply
    809.17x = 1,117.03 × 610.08
  4. Step 4: Simplify right side
    809.17x = 681,474.36
  5. Step 5: Solve for x
    x = 681,474.36/809.17
  6. Step 6: Final answer
    x = 842.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.